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Finding the Fourth Proportional to 9,007.75, 13,511.64 and 3,166.03

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Solution

The fourth proportional to 9,007.75, 13,511.64 and 3,166.03 is: 4,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.75 : 13,511.64 = 3,166.03 : x
  2. Step 2: Convert to fraction form
    9,007.75/13,511.64 = 3,166.03/x
  3. Step 3: Cross multiply
    9,007.75x = 13,511.64 × 3,166.03
  4. Step 4: Simplify right side
    9,007.75x = 42,778,257.59
  5. Step 5: Solve for x
    x = 42,778,257.59/9,007.75
  6. Step 6: Final answer
    x = 4,749.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.